%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB001+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:29:28 AM UTC 2025
% Result : Theorem 0.11s 0.36s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 6 |; 13 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_owl_Restriction_type,type,
uri_owl_Restriction: $i ).
tff(uri_ex_r_type,type,
uri_ex_r: $i ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(uri_ex_c_type,type,
uri_ex_c: $i ).
tff(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
tff(uri_ex_p_type,type,
uri_ex_p: $i ).
tff(uri_owl_onProperty_type,type,
uri_owl_onProperty: $i ).
tff(uri_ex_d_type,type,
uri_ex_d: $i ).
tff(uri_owl_someValuesFrom_type,type,
uri_owl_someValuesFrom: $i ).
tff(1,plain,
( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
<=> iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_001_Subgraph_Entailment) ).
tff(3,plain,
( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
inference(and_elim,[status(thm)],[2]) ).
tff(4,plain,
( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
inference(and_elim,[status(thm)],[3]) ).
tff(5,plain,
iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
inference(and_elim,[status(thm)],[4]) ).
tff(6,plain,
iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
<=> iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
inference(and_elim,[status(thm)],[3]) ).
tff(9,plain,
iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
( ~ ~ ( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
<=> ( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,plain,
( ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
<=> ~ ( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
<=> ~ ~ ( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ) ),
inference(monotonicity,[status(thm)],[11]) ).
tff(13,plain,
( ~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
<=> ( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ) ),
inference(transitivity,[status(thm)],[12,10]) ).
tff(14,plain,
( ~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
<=> ~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,axiom,
~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_001_Subgraph_Entailment) ).
tff(16,plain,
~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
inference(modus_ponens,[status(thm)],[16,13]) ).
tff(18,plain,
$false,
inference(unit_resolution,[status(thm)],[17,9,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWB001+2 : TPTP v9.0.0. Released v5.2.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 07:46:08 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.36 % SZS status Theorem
% 0.11/0.36 % SZS output start Proof
% See solution above
% 0.11/0.36 % E exiting
%------------------------------------------------------------------------------